Renormalization group flow equation at finite density

J. Meyer, G. Papp, H. J. Pirner, T. Kunihiro

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21 Citations (Scopus)


For the linear σ model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum and compare the solutions of the full evolution equation with those in the mean field approximation. We find a first order phase transition either from a massive constituent quark phase to a mixed phase, where both massive and massless quarks are present, or from a metastable constituent quark phase at low density to a stable massless quark phase at high density. In the latter solution, the formation of droplets of massless quarks is realized even at low density.

Original languageEnglish
Article number035202
Pages (from-to)352021-3520212
Number of pages3168192
JournalPhysical Review C - Nuclear Physics
Issue number3
Publication statusPublished - Mar 2000


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Meyer, J., Papp, G., Pirner, H. J., & Kunihiro, T. (2000). Renormalization group flow equation at finite density. Physical Review C - Nuclear Physics, 61(3), 352021-3520212. [035202].